The bandwidth or frequency response of the control amplifier or potentiostat amplifier is related to the maximum rate at which the output can change.
For a simple conversion, consider the 1 volt sine wave in the sketch below. From math tables, the maximum slope of sin(x) is 1.0 since
d sin(x)/dx = 1. at x=0
For our 1 Volt sine wave, the maximum slope corresponds to about 6 V/cycle, or 6×F V/s, where F is a hypothetical "maximum frequency." Because the bandwidth specification is often stated as the frequency at which the signal is attenuated by 30%, using 3×F V/s is a bit more realistic. Remember, however, that this is only a crude conversion.
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